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Blababa [14]
3 years ago
11

X squared+6x+5 what is this factorise

Mathematics
1 answer:
NISA [10]3 years ago
4 0
Well, your question is basically;
x²+6x+5
   Well first you have to find two numbers that when added will give you +6 and when multiplied will give you 5. Well, in this case, the numbers are; (+1 and +5). So you add them to the equation. So;
x²+1x+5x+5
  Hope you noticed that 6x was removed. Anyway;
   You have to put the equation in two brackets with two terms in each
(x²+1x)+(5x+5)
   Next, you bring out what is commom in each bracket and use it to divide what is in the bracket
x(x+1)+5(x+1)
   Now you notice that the two things in the bracket are the same. They have to be.
Next, you put the terms outside the bracket together and choose one of the terms in a bracket. So;
(x+5) (x+1)
     So the equation factorised is (x+5) (x+1). But if you want to go ahead to find x, then you can say;
(x+5)                             (x+1)
x+5=0                             x+1=0
Take the +5 over            Take the +1 over the equal to, where it becomes -1. So;
the equal sign where      x=-1
it becomes -5. So;
x=-5                        OR    x=-1
   By the way, here's a little secret, the answers are always the opposite of the two numbers chosen at the beginning(+1 and +5). Hope i helped. If you have any more problems, let me know.
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Jack is 4 times as old as Lacy. 3 years from now the sum of their ages will be 71 . How old are they now?
Marizza181 [45]

Answer:

Lacy is 13 and Jack is 52

Step-by-step explanation:

In 3 years their ages will add up to 71 so you have to subtract 6 as there are two of them to get 65. Lacy's age is represented by x and since Jack is 4 times older his age is represented by 4x. So added together their age is 5x. So 5x=65. Then 65/5=13. So 13=x. So Lacy is 13 and Jack is 52 as 13x4 is 52.

3 0
3 years ago
Pleasssssssseeee help
astra-53 [7]
Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b

So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $

the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).

x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".

9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6

(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
5 0
3 years ago
Richard filled 3-gallon jug with fruit punch.
Alecsey [184]

Answer:

About 11.4

Step-by-step explanation:

There are 3.78541178 liters in a gallon.

Round that up to the nearest 100 and you get 3.8

Multiply 3.8 by 3.

You get 11.4

7 0
3 years ago
Pleaseeee helpppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Fed [463]

Answer:

z=44

Step-by-step explanation:

One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.

360-84-84-52-52=88

=88/2

=44

So z=44°

5 0
2 years ago
The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression cannot be use
Ksivusya [100]

Answer:

Future value A = P(1+r)^(t)

A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

Corrected question;

The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression can be used to calculate the price of the new Ford this year

Step-by-step explanation:

Applying the future value formula;

A = P(1+r)^(t) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

t = time in years

Given;

P = 27,000

r = 6.5% = 0.065

t = 1 year

Substituting the given values;

So A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

3 0
3 years ago
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